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Simplifying (m + -2)(-5) = 8 + -2(m + -4) Reorder the terms: (-2 + m)(-5) = 8 + -2(m + -4) Reorder the terms for easier multiplication: -5(-2 + m) = 8 + -2(m + -4) (-2 * -5 + m * -5) = 8 + -2(m + -4) (10 + -5m) = 8 + -2(m + -4) Reorder the terms: 10 + -5m = 8 + -2(-4 + m) 10 + -5m = 8 + (-4 * -2 + m * -2) 10 + -5m = 8 + (8 + -2m) Combine like terms: 8 + 8 = 16 10 + -5m = 16 + -2m Solving 10 + -5m = 16 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 10 + -5m + 2m = 16 + -2m + 2m Combine like terms: -5m + 2m = -3m 10 + -3m = 16 + -2m + 2m Combine like terms: -2m + 2m = 0 10 + -3m = 16 + 0 10 + -3m = 16 Add '-10' to each side of the equation. 10 + -10 + -3m = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -3m = 16 + -10 -3m = 16 + -10 Combine like terms: 16 + -10 = 6 -3m = 6 Divide each side by '-3'. m = -2 Simplifying m = -2
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